Black hole entanglement entropy and the renormalization group
arXiv:1212.6824 · doi:10.1103/PhysRevD.87.084047
Abstract
We investigate the contributions of quantum fields to black hole entropy by using a cutoff scale at which the theory is described with a Wilsonian effective action. For both free and interacting fields, the total black hole entropy can be partitioned into a contribution derived from the gravitational effective action and a contribution from quantum fluctuations below the cutoff scale. In general the latter includes a quantum contribution to the Noether charge. We analyze whether it is appropriate to identify the rest with horizon entanglement entropy, and find several complications for this interpretation, which are especially problematic for interacting fields.
30 pages; v2, matches published version at PRD. Two references added, minor changes including additional remarks on the distinction between Euclidean and Lorentzian momentum cutoffs, on the degree of nonlocality in the effective action, and on the possibility that only the total entropy has an entanglement interpretation
References in corpus (37)
- Thermodynamics of Spacetime: The Einstein Equation of State
- Black Hole Entropy is Noether Charge
- Exact evolution equation for the effective potential
- Entropy and Area
- Heat kernel expansion: user's manual
- On Geometric Entropy
- Optimised Renormalisation Group Flows
- Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
- Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
- Entanglement entropy of black holes
- Black Hole Entropy and Entropy of Entanglement
- The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
- Dynamical Origin of the Entropy of a Black Hole
- Lectures on the functional renormalization group method
- Black Hole Entropy without Brick Walls
- Asymptotically Safe Lorentzian Gravity
- Elements of the Continuous Renormalization Group
- Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
- Momentum-space entanglement and renormalization in quantum field theory
- Thermal Fields, Entropy, and Black Holes
- Mechanism of Generation of Black Hole Entropy in Sakharov's Induced Gravity
- Black Hole Entropy and Induced Gravity
- One-loop Renormalization of Black Hole Entropy Due to Non-minimally Coupled Matter
- Black hole thermodynamics under the microscope
- Black hole entropy: statistical mechanics agrees thermodynamics
- Black Hole Entropy: Off-Shell vs On-Shell
- Black Hole Entropy in the O(N) Model
- Do gauge fields really contribute negatively to black hole entropy?
- Running boundary actions, Asymptotic Safety, and black hole thermodynamics
- Why the Entropy of a Black Hole is ?
- Renormalized Thermodynamic Entropy of Black Holes in Higher Dimensions
- Low energy Quantum Gravity from the Effective Average Action
- Gravitation and vacuum entanglement entropy
- Black Hole Entropy: Thermodynamics, Statistical-Mechanics and Subtraction Procedure
- Energy, Hamiltonian, Noether Charge, and Black Holes
- Remarks on effective action and entanglement entropy of Maxwell field in generic gauge
- Black Hole Entropy in Induced Gravity and Information Loss
Cited by in corpus (24)
- Entanglement Equilibrium and the Einstein Equation
- Entanglement equilibrium for higher order gravity
- Coarse Grained Quantum Dynamics
- Spacetime thermodynamics without hidden degrees of freedom
- Area terms in entanglement entropy
- Partition function for a volume of space
- Towards Spacetime Entanglement Entropy for Interacting Theories
- Newton constant, contact terms and entropy
- Large Field Inflation and Gravitational Entropy
- Quantum entanglement in cosmology
- Superhorizon entanglement entropy from particle decay in inflation
- Finite Entanglement Entropy in Asymptotically Safe Quantum Gravity
- Entanglement Entropy of Causal Set de Sitter Horizons
- Emergent Gravity in a Holographic Universe
- On the renormalization of the Gibbons-Hawking boundary term
- AdS/CFT Correspondence with a 3D Black Hole Simulator
- Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
- Entanglement entropy between real and virtual particles in quantum field theory
- Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
- Exact Renormalization Group, Entanglement Entropy, and Black Hole Entropy
- Entanglement Entropy in Closed String Theory
- Gravity as a thermodynamic phenomenon
- Aspects of Quantum Fields on Causal Sets
- Black hole entropy and the renormalization group